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In electromagnetism, the magnetic field set up by a steady current density is described by ____________.
OhmтАЩs law
LaplaceтАЩs law
FaradayтАЩs law
LenzтАЩs law
LaplaceтАЩs law
The magnetic field intensity dH at a point due to a steady current element Idl is given by the Biot-Savart Law, often historically referred to as Laplace's Law in the context of electromagnetism. It describes how magnetic fields are generated by microscopic current segments.
The magnetic field intensity dH at a point due to a steady current element Idl is given by the Biot-Savart Law, often historically referred to as Laplace's Law in the context of electromagnetism. It describes how magnetic fields are generated by microscopic current segments.
dH=4╧АR2Idl├Чa^RтАЛтАЛ тАФ Differential magnetic field intensity in A/m
H=тИл4╧АR2Idl├Чa^RтАЛтАЛ тАФ Integral form for total magnetic field
The law postulates that the differential magnetic field dH produced by a current element Idl is directly proportional to the product of the current, the length of the element, and the sine of the angle between the element and the line joining the element to the point of observation, while being inversely proportional to the square of the distance.
The Biot-Savart Law is the magnetostatic equivalent of Coulomb's Law in electrostatics.
It requires the current to be steady (constant in time) to be valid.
The direction of the field follows the right-hand thumb rule.
Useful for calculating magnetic fields of complex current distributions.
Fundamental for deriving Ampere's Circuital Law.
Integration can be mathematically complex for non-symmetric current geometries.
Limited to magnetostatic conditions.
Calculating magnetic field of a straight current-carrying wire.
Determining the field on the axis of a circular current loop.
Ohm's law relates voltage, current, and resistance.
Faraday's law describes electromagnetic induction due to time-varying magnetic flux.
Lenz's law provides the direction of induced electromotive force.
B is correct тАФ Laplace's law (commonly known as the Biot-Savart Law) defines the magnetic field generated by a steady current density.
In exams, remember that Biot-Savart is for steady currents, while Faraday's Law is specifically for time-varying magnetic fields.
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